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Electromagnetism - The Burns Home Page

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03/12/2010<br />

<strong>Electromagnetism</strong> Review<br />

EMF<br />

<strong>Electromagnetism</strong> Review<br />

Recall<br />

EMF induced in a Moving Conductor<br />

Force of Magnetic Field on Current<br />

BLv<br />

m <br />

1.2T 2.0m7<br />

<br />

s <br />

17V<br />

X X X X X X X X X X X<br />

X X X X X X X X X X X<br />

X X X X X X X X X X X<br />

X X X X X X X X X X X<br />

X X X X X X X X X X X<br />

• Force on 1 moving charge:<br />

‣ F = q v B sin()<br />

‣ Out of the page (RHR)<br />

• Force on many moving charges:<br />

‣ F = (q/t)(vt)B sin()<br />

= I L B sin()<br />

+<br />

‣Out of the page!<br />

+<br />

<br />

v<br />

+ + +<br />

v<br />

L = vt<br />

B<br />

I = q/t<br />

distance<br />

Torque on Current Loop in B field<br />

W<br />

d<br />

a<br />

• F<br />

L<br />

Force on sections B-C and A-D: F = IBW<br />

Torque on loop is t = L F sin(f) = ILWB sin(f)<br />

Torque is<br />

I<br />

(length x width = area)<br />

c<br />

F<br />

X<br />

b<br />

B<br />

t = I A B sin(f)<br />

LW = A<br />

F<br />

d<br />

f<br />

a<br />

b<br />

c<br />

F<br />

Understanding: Torque on<br />

Current Loop<br />

What is the torque on the loop below?<br />

1<br />

2<br />

3<br />

t < IAB<br />

t = IAB<br />

t > IAB<br />

t = 0<br />

x x x x x x x x x x x x x x x x<br />

x x x x x x x x x x x x x x x x<br />

x x x x x x x x x x x x x x x x<br />

x x x x x x x x x x x x x x x x<br />

x x x x x x x x x x x x x x x x<br />

x x x x x x x x x x x x x x x x<br />

x x x x x x x x x x x x x x x x<br />

x x x x x x x x x x x x x x x x<br />

7

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